Bring a small pot of water to a boil, carefully lower the eggs into the water, and cook for exactly 6 minutes and 30 seconds.
Immediately transfer the eggs to an ice bath for 5 minutes, then gently peel and set aside.
Slice the andouille sausage into rounds and sear them in a medium pot over medium-high heat until browned and crispy on both sides.
Remove the sausage from the pot and set aside, leaving about a teaspoon of the rendered fat in the pot.
Add the minced garlic and grated ginger to the pot, sautéing for 30 seconds until aromatic.
Pour in the chicken broth, tamari, and red pepper flakes, bringing the liquid to a gentle simmer.
Add the instant ramen noodles (discarding any flavor packets) and the chopped baby bok choy to the broth.
Simmer for 2 to 3 minutes until the noodles are tender and the bok choy is bright green.
Pour the ramen and broth into a deep bowl, top with the seared sausage, and slice the jammy eggs in half to place on top.
Garnish with sliced green onions before serving.